TY - JOUR
T1 - Transient and steady-state responses in a self-sustained oscillator with harmonic and bounded noise excitations
AU - Yue, Xiaole
AU - Xu, Wei
AU - Wang, Liang
AU - Zhou, Bingchang
PY - 2012/10
Y1 - 2012/10
N2 - The transient and steady-state responses of a self-sustained oscillator under harmonic and bounded noise excitations are studied. By means of the generalized cell mapping method under stochastic excitation, the evolution processes of transient and steady-state probability density functions are obtained. By comparison to Monte Carlo results, the method is verified as valid and accurate for analyzing the response of nonlinear stochastic dynamical systems. Furthermore, it is found that as the amplitude of bounded noise and the Wiener process intensity vary, the number of peaks of the steady-state probability density function changes, indicating that stochastic P-bifurcation occurs.
AB - The transient and steady-state responses of a self-sustained oscillator under harmonic and bounded noise excitations are studied. By means of the generalized cell mapping method under stochastic excitation, the evolution processes of transient and steady-state probability density functions are obtained. By comparison to Monte Carlo results, the method is verified as valid and accurate for analyzing the response of nonlinear stochastic dynamical systems. Furthermore, it is found that as the amplitude of bounded noise and the Wiener process intensity vary, the number of peaks of the steady-state probability density function changes, indicating that stochastic P-bifurcation occurs.
UR - http://www.scopus.com/inward/record.url?scp=84863223741&partnerID=8YFLogxK
U2 - 10.1016/j.probengmech.2012.06.001
DO - 10.1016/j.probengmech.2012.06.001
M3 - 文章
AN - SCOPUS:84863223741
SN - 0266-8920
VL - 30
SP - 70
EP - 76
JO - Probabilistic Engineering Mechanics
JF - Probabilistic Engineering Mechanics
ER -